Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces
Journal of Lie theory, Tome 16 (2006) no. 3, pp. 407-426
Voir la notice de l'article provenant de la source Heldermann Verlag
We introduce analogues of a map due to H. Rossi ["Attaching analytic spaces to an analytic space along a pseudoconcave boundary", in: Proc. Conf. Complex Analysis, Minneapolis 1964, Springer-Verlag 1965, 242--256] and show how they can be used to explicitly determine all covers of certain homogeneous strongly pseudoconvex 3-dimensional hypersurfaces that appear in the classification obtained by E. Cartan in 1932.
Classification :
53C30, 32V05
Mots-clés : Homogeneous 3-dimensional CR-manifolds, Rossi's example
Mots-clés : Homogeneous 3-dimensional CR-manifolds, Rossi's example
@article{JLT_2006_16_3_JLT_2006_16_3_a0,
author = {A. Isaev },
title = {Analogues of {Rossi's} {Map} and {E.} {Cartan's} {Classification} of {Homogeneous} {Strongly} {Pseudoconvex} {3-Dimensional} {Hypersurfaces}},
journal = {Journal of Lie theory},
pages = {407--426},
publisher = {mathdoc},
volume = {16},
number = {3},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a0/}
}
TY - JOUR AU - A. Isaev TI - Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces JO - Journal of Lie theory PY - 2006 SP - 407 EP - 426 VL - 16 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a0/ ID - JLT_2006_16_3_JLT_2006_16_3_a0 ER -
%0 Journal Article %A A. Isaev %T Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces %J Journal of Lie theory %D 2006 %P 407-426 %V 16 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a0/ %F JLT_2006_16_3_JLT_2006_16_3_a0
A. Isaev . Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces. Journal of Lie theory, Tome 16 (2006) no. 3, pp. 407-426. http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a0/